120801288400 has 120 divisors (see below), whose sum is σ = 313079961600. Its totient is φ = 44527941120.

The previous prime is 120801288371. The next prime is 120801288403. The reversal of 120801288400 is 4882108021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120801288403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095409 + ... + 3134191.

It is an arithmetic number, because the mean of its divisors is an integer number (2608999680).

Almost surely, 2^120801288400 is an apocalyptic number.

120801288400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120801288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156539980800).

120801288400 is an abundant number, since it is smaller than the sum of its proper divisors (192278673200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120801288400 is a wasteful number, since it uses less digits than its factorization.

120801288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39413 (or 39402 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 120801288400 in words is "one hundred twenty billion, eight hundred one million, two hundred eighty-eight thousand, four hundred".